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A244185 T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..k introduced in 0..k order 10
13, 38, 22, 48, 108, 36, 49, 173, 306, 59, 49, 188, 650, 867, 97, 49, 189, 790, 2495, 2457, 160, 49, 189, 811, 3537, 9667, 6963, 263, 49, 189, 812, 3803, 16477, 37604, 19732, 433, 49, 189, 812, 3831, 19113, 78614, 146521, 55918, 712, 49, 189, 812, 3832, 19575 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...13.....38......48.......49........49........49........49........49........49
...22....108.....173......188.......189.......189.......189.......189.......189
...36....306.....650......790.......811.......812.......812.......812.......812
...59....867....2495.....3537......3803......3831......3832......3832......3832
...97...2457....9667....16477.....19113.....19575.....19611.....19612.....19612
..160...6963...37604....78614....101200....107068....107818....107863....107864
..263..19732..146521...380407....556443....620051....631917....633072....633127
..433..55918..571315..1855983...3141344...3761768...3920234...3942493...3944198
..712.158464.2228340..9098538..18055451..23672967..25559691..25918400..25957707
.1172.449066.8692454.44726540.105031051.153195068.173884143.178997028.179748699
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-2) +a(n-3) +2*a(n-4) +a(n-5) +a(n-6)
k=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +5*a(n-4) +3*a(n-5) +2*a(n-6)
k=3: [order 12]
k=4: [order 18]
k=5: [order 24]
k=6: [order 30]
k=7: [order 36]
k=8: [order 42]
k=9: [order 48]
EXAMPLE
Some solutions for n=6 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....0....1....1....1....0....1....1....1....1....1....1....1....1
..1....1....2....1....2....2....1....1....2....2....2....1....1....0....0....2
..0....2....3....2....0....3....2....2....1....3....0....2....2....2....0....2
..2....2....4....1....3....0....2....3....3....0....2....2....3....2....1....0
..3....1....4....2....0....1....3....3....3....0....3....0....4....3....0....3
..0....0....3....0....0....3....2....4....4....0....2....3....3....0....2....1
..0....0....2....0....4....4....1....4....0....4....1....0....3....1....3....4
..2....0....2....1....3....4....4....2....2....2....2....1....1....3....1....1
..3....0....0....2....0....1....0....1....1....0....4....1....1....4....1....2
CROSSREFS
Column 1 is A164441(n+3)
Sequence in context: A201809 A129541 A302858 * A044090 A044471 A285525
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 21 2014
STATUS
approved

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)